In a pair of vertical angles, the angles are equal. Given that the obtuse angles formed are each 145 degrees, we can find the measurement of the acute angles using the fact that the sum of each pair of angles at the intersection of the two pieces of wood is 180 degrees.
To find the acute angle, we can use the formula:
\[ \text{Acute angle} = 180^\circ - \text{Obtuse angle} \]
Substituting the value of the obtuse angle:
\[ \text{Acute angle} = 180^\circ - 145^\circ = 35^\circ \]
Therefore, each acute angle formed is 35 degrees.
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